Abstract
In this paper we obtain a limit model for a turbine blade fixed to a 3D solid. This model is a three‐dimensional elasticity problem in the 3D part of the piece (the rotor) and a two‐dimensional problem (the shallow shell equations) in the 2D part (the turbine blade), with junction conditions in the part of the turbine blade fixed to the rotor. To obtain this model we shall do an asymptotic analysis, starting with the linear three‐dimensional elasticity equations on all the piece and taking as a small parameter the thickness of the blade. Finally, we shall make some comments about what happens in the nonlinear case.